Chirp-dispersion management inducing regeneration of truncated Airy pulses in fiber-optics links

In this paper we introduce another technic of Airy pulses regeneration in fiber links using the interaction between the group velocity dispersion (GVD) and the initial value of frequency-chirp (C). This technic, called the chirp-management dispersion (CDM), consists to manage the product of GVD chirp over each piece of fiber line in the case of zero third-order dispersion (TOD). The alternation of both the initial chirp and GVD that conducts this regeneration, follows the work done by [R. Driben et al, Phys. Rev. A 89, 043817 (2014)] for nonzero-TOD systems. Through numerical results in the linear optical system, we show that the first case of alternation with a starting condition GVD × chirp > 0, is the best one able to yield an interesting regeneration both for a single finite energy Airy pulse (FEAP) and for symmetric FEAP (SFEAP) previously defined by [S. Xiaohui et al, Optics Communications 399, 16-23 (2017)]. The main parameter which is beneficial for this kind of CDM-regeneration of Airy pulses in fiber links is found to be the initial frequency chirp while the temporal gap and the nonlinearity have deleterious impact on the regeneration.